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Finding the Fourth Proportional to 4,486.50, 6,194.14 and 2,893.92

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Solution

The fourth proportional to 4,486.50, 6,194.14 and 2,893.92 is: 3,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.50 : 6,194.14 = 2,893.92 : x
  2. Step 2: Convert to fraction form
    4,486.50/6,194.14 = 2,893.92/x
  3. Step 3: Cross multiply
    4,486.50x = 6,194.14 × 2,893.92
  4. Step 4: Simplify right side
    4,486.50x = 17,925,345.63
  5. Step 5: Solve for x
    x = 17,925,345.63/4,486.50
  6. Step 6: Final answer
    x = 3,995.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.